On Xbox One Version, this run can be split without saving...
Simply pause the game, Turn off your Xbox, and when you come back to it, make sure you log your profile in BEFORE selecting Resident Evil. (Must be logged on first otherwise it'll reset where you've paused it to the main menu. Also, Do not play any other games or use other apps between stopping and starting again.
You can find "Speed Run" guides for the Remake Resident Evil, Doing this achievement while attempting a speed run is the best tactic, as speed run guides will make you miss a lot of rooms and unnessecary contact with dangers.
As Notarzt has said, Extra care in the two Boulder Rooms,
Also when on the speed run (Which means NOT saving anyone!) You'll be on your own again Lisa Trevor, EXTRA Caution, she can kill you in 2 hits on Very Easy Mode.
I have literally just got:
Don't Stop Running
Racing and Pacing
Ink Is For Squids
Every Woman For Herself
What A Great Guy
...In one playthrough.